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Finding the Fourth Proportional to 28,563.50, 42,872.96 and 13,782.83

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Solution

The fourth proportional to 28,563.50, 42,872.96 and 13,782.83 is: 20,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,563.50 : 42,872.96 = 13,782.83 : x
  2. Step 2: Convert to fraction form
    28,563.50/42,872.96 = 13,782.83/x
  3. Step 3: Cross multiply
    28,563.50x = 42,872.96 × 13,782.83
  4. Step 4: Simplify right side
    28,563.50x = 590,910,539.37
  5. Step 5: Solve for x
    x = 590,910,539.37/28,563.50
  6. Step 6: Final answer
    x = 20,687.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.